What is the common difference of the sequence (12,10,8,6,\ldots)?
Answer and explanation
Correct answer: -2
The common difference is found by subtracting a term from the succeeding term. Here, \(10-12=-2\), and the same difference occurs between successive terms. Therefore, the common difference is \(-2\). Exam tip: a decreasing AP has a negative common difference.
Frequently asked questions
What is the correct answer to this question?
-2
Why is this the correct answer?
The common difference is found by subtracting a term from the succeeding term. Here, \(10-12=-2\), and the same difference occurs between successive terms. Therefore, the common difference is \(-2\). Exam tip: a decreasing AP has a negative common difference.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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